Here is an excerpt from Schroedinger's "What is life?" Would be interesting to view this mathematically using smooth ordinary type functions ,which are not spliced and joined. Schroedinger quote"Organic chemistry, indeed, in investigating more and more complicated molecules, has come very much nearer to that 'aperiodic crystal' which, in my opinion, is the material carrier of life. And therefore it is small wonder that the organic chemist has already made large and important contributions to the problem of life, whereas the physicist has made next to none" unquote This leads to a question on aperiodic functions . Are there elegant smooth aperiodic functions e.g Sandpile mathematics , Finite Penrose tiling ?If so what are their properties? Cheers
Dear Narasim Ramesh!
Look e.g. at chirp of sweep sine
f(x)=sin(a x^2/2+bx)
It has pretty Fourier image which modulus approximately flat in the [aX+b,b] range, where X is maximum coordinate.
https://en.wikipedia.org/wiki/Chirp
Sincerely,
Daniil D. Stupin
Dear Daniil Stupin
Thank you for a nice lead . This was an exploratory q and I was actually wondering if given a shape say an irregular curve in 2d of a bio organ whether we can derive a function that approximates it. This might lead to modeling the growth(scaling for example) of this organ using DNA building strings and hence determine the healthiness of the organ based on parameters of the function.
Thank you once again,
Cheers
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